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BabaBlast [244]
3 years ago
11

The mean of 15 numbers is 12. An extra number is included and the mean increases to 13. What the extra number?

Mathematics
1 answer:
Studentka2010 [4]3 years ago
5 0

Answer: 28

Step-by-step explanation:

The mean of 15 numbers = 12

Then , the sum of the numbers = 12x15 = 180

Let the extra number included be x , then

The new sum = x + 180

And the new total number will increase from 15 to 16

new mean = 13 , so we have :

\frac{x+180}{16} = 13

x+ 180 = 16(13)

x + 180 = 208

x = 208 - 180

x = 28

therefore , the extra number is 28

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The sum of the series below is 10,900. how many numbers, n, are in the series? 19 20.5 22 23.5 ... 181
JulsSmile [24]

There are 109 terms in given series.

According to the statement

we have given that the sum of series is AP series and

This is 19 20.5 22 23.5 ... 181

And the sum of series is 10,900

Now, we have to find the number of terms in the series.

Then we use the summation formula which is

S = n/2 (a + L)

Substitute the all given values in it like

L = 181

A = 19 and S= 10,900

then

10,900= n/2(19+181)

10,900= n/2(200)

After solve the equation for n

10,900= 100n

n = 10,900 / 100

n = 109

There are 109 terms in given series.

So, There are 109 terms in given series.

Learn more about SERIES here brainly.com/question/6561461

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3 0
1 year ago
Which of the expressions below can be factored using the difference of squares method? A. 25x2 - 64y2 B. 17x2 + 23y2 C. 17x2 - 2
denis-greek [22]
<span>Difference of squares method is a method that is used to evaluate the difference between two perfect squares.

For example, given an algebraic expression in the form:
x^2-y^2
can be factored as follows:
(x-y)(x+y)

From the given expressions, the only expression containing two perfect squares with the minus sign in the middle is the expression in option A.
i.e. 25x^2-64y^2
which can be factored as follows:
(5x-8y)(5x+8y).</span>
7 0
2 years ago
Which symbol replaces the box to make the statement true? 2⋅18−18□2⋅[28−3⋅(2+4)] <br>A. <br>C. =
Misha Larkins [42]

Answer:

2⋅18−18 is less than 2⋅[28−3⋅(2+4)]

Step-by-step explanation:

7 0
3 years ago
Donna Meagle notices that on 12 out of 14 days, her clumsy coworker Jerry Gergich spills his lunch on himself. She concludes tha
pantera1 [17]

Answer:

It is an example of an empirical probability.

Step-by-step explanation:

The empirical probability, also called experimental probability of an event is the ratio of the number of outcomes in which a specified event occurs to the total number of trials, not in a theoretical sample space but in an actual experiment.

Theoretical probability is probability that is determined on the basis of reasoning.

It is evident that the probability in the question was arrived at after the outcome of 14 days of whether Jerry Gergich spilled his lunch on himself or not.

It's an actual result of an experiment, hence the 12/14 = 0.86 = 86% that he spills his lunch on himself tomorrow.

Hope this Helps!!!

6 0
3 years ago
Solving the equation:-9h-6+ 12h +40=20
MakcuM [25]
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divide by 3 
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5 0
3 years ago
Read 2 more answers
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